Dik. x^1/2 + x^1/2=3, maka nilai x + x^-1 adalah...
Matematika
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Pertanyaan
Dik. x^1/2 + x^1/2=3, maka nilai x + x^-1 adalah...
1 Jawaban
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1. Jawaban mdaniyalkausar
x^½ + x^½ = 3
√x + √x = 3
2√x = 3
√x = 3/2
x = (3/2)²
x = 9/4
x + x^-1 = 9/4 + (9/4)^-1 = 9/4 + 4/9 = 81+36/36 = 117/36 = 3¼